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Finding the Fourth Proportional to 5,297.70, 7,945.53 and 1,599.07

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Solution

The fourth proportional to 5,297.70, 7,945.53 and 1,599.07 is: 2,398.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.70 : 7,945.53 = 1,599.07 : x
  2. Step 2: Convert to fraction form
    5,297.70/7,945.53 = 1,599.07/x
  3. Step 3: Cross multiply
    5,297.70x = 7,945.53 × 1,599.07
  4. Step 4: Simplify right side
    5,297.70x = 12,705,458.66
  5. Step 5: Solve for x
    x = 12,705,458.66/5,297.70
  6. Step 6: Final answer
    x = 2,398.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.